The manuscript presents the development of hydraulic fracturing simulation tool based on cell-based pseudo-3D model. The model was upgraded up to enhanced P3D model that accounts for viscous dissipation in lateral growth implicitly. In addition to P3D model enhancement the aim of present paper is to explore crucial effects and processes taking place during hydraulic fracturing simulation: proppant particles settling, tip-screen out, interaction between several fractures in multi-stage treatment. To achieve the goal we developed the mathematical model that is able to simulate the fracture growth in highly non-uniform geological lithology, the flow of non-Newtonian liquid and proppant particles in the fracture channel, interaction between fractures. All of these effects are investigated separately, the impact of each process on the fracture shape is discussed, possible solutions are suggested.

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